Use our free GCF of Fractions Calculator tool to compute the GCF of 44/620, 26/372, 263/980 i.e 1/91140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/620, 26/372, 263/980.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/620,26/372,263/980
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 44/620,26/372,263/980, numerators are 44,26,263
Denominators are 620,372,980
The GCF of 44,26,263 is 1 .
LCM of 620,372,980 is 91140.
The greatest common factor of 44/620,26/372,263/980 = [GCF of 44,26,263]/[LCM of 620,372,980]= 1/91140
Therefore, the GCF of 44/620,26/372,263/980 is 1/91140.
To find the highest common factor of 44,26,263, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 26 are 1, 2, 13, 26
The factors of 263 are 1, 263
The HCF of 44,26,263 is 1.
Lets's calculate GCF of 44,26,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 263
:1,263
Greatest Common Factor
We found the factors 44,26,263 . The biggest common factor number is the GCF number.
So the greatest common factor 44,26,263 is 1.
Lets's calculate LCM of 620,372,980
2 | 620, 372, 980 |
2 | 310, 186, 490 |
5 | 155, 93, 245 |
31 | 31, 93, 49 |
1, 3, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 31 x 1 x 3 x 49 = 91140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91140
Therefore, the GCF of Fractions 44/620,26/372,263/980 is 1/91140
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 620,372,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,372,980) = 4
common factors(in case of two or more numbers have common factors) = 620
GCF(620,372,980) x common factors =4 x 620 = 2480
LCM(620,372,980) = ( 620 × 372 × 980 ) / 2480
LCM(620,372,980) = 226027200 / 2480
LCM(620,372,980) = 91140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 44,26,263?
The HCF of 44,26,263 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 44/620, 26/372, 263/980?
Answer: GCF of Numerators as per given numbers 44/620, 26/372, 263/980 is
GCF of Numerators i.e. for 44,26,263 is 1
LCM of denominators i.e. for 620,372,980 is 91140.
Thus, GCF of Fractions is 1/91140.Finally, GCF of Fractions for 44/620, 26/372, 263/980 is 1/91140.